2019
DOI: 10.1007/978-3-030-20887-5_7
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Flex-Convolution

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Cited by 77 publications
(50 citation statements)
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“…Other recent work explores the extension of convolutions on irregular and unordered point-cloud inputs [8,25,26,46,47,55].…”
Section: Point-wise Convolutionsmentioning
confidence: 99%
See 1 more Smart Citation
“…Other recent work explores the extension of convolutions on irregular and unordered point-cloud inputs [8,25,26,46,47,55].…”
Section: Point-wise Convolutionsmentioning
confidence: 99%
“…There is also plenty of work on point-based convolutions that explores the idea of convolutions directly on irregular points [8,25,26,46,47,55]. They learn to approximate a weight function or interpolate convolutional weights [10,25,28,32,50,53,55].…”
Section: Introductionmentioning
confidence: 99%
“…Recently, there is an increasing interest in designing convolutions that directly operates on point clouds, inspired by the great performance of CNN on 2D images. To design a point convolution network, the authors of [ 19 , 20 , 21 ] attempt to construct continuous kernel functions to convolve on local points. PointConv [ 19 ] uses a Multi-Layer Perceptron (MLP) to fit a kernel due to its ability to approximate an arbitrary continuous function.…”
Section: Related Workmentioning
confidence: 99%
“…SpiderCNN [ 20 ] found that the MLP did not work well on approximating the kernels, so the authors propose the order-3 Taylor term which is a family of polynomial functions applied with different weights to enrich the complexity of the filters. Flex convolution [ 21 ] utilizes linear functions to act as a kernel which is actually an order-1 Taylor term of SpiderCNN. Structure-aware Convolution (SAC) [ 22 ] matches neighbor points in the point cloud through 3D convolution to extract geometric features.…”
Section: Related Workmentioning
confidence: 99%
“…Xu et al [ 7 ] processed irregular data through the parameterized filters. Groh et al [ 30 ] extended the traditional convolution to larger scale point cloud processing through exploring different parameterizations to generate the edge-dependent filters. Verma et al [ 31 ] used soft-assignment matrices to extend traditional convolution into point cloud.…”
Section: Introductionmentioning
confidence: 99%